Topic 3 Ratios and Proportion

Question 1

What is a ratio?

Answer 1

A ratio is a comparison of two quantities expressed as a fraction.

Question 2

True or False: A ratio can only compare two quantities.

Answer 2

False

Question 3

If the ratio of boys to girls in a class is 3:4, how many boys are there if there are 20 girls?

Answer 3

15 boys

Question 4

Fill in the blank: The ratio of A to B can be written as ____.

Answer 4

A:B

Question 5

What is the simplest form of the ratio 10:15?

Answer 5

2:3

Question 6

If two quantities are in the ratio 5:2 and the total is 70, what is the value of the smaller quantity?

Answer 6

20

Question 7

What does it mean for two ratios to be equivalent?

Answer 7

It means they represent the same relationship between quantities.

Question 8

Convert the ratio 4:5 into a fraction.

Answer 8

4/5

Question 9

True or False: Ratios can be expressed in decimal form.

Answer 9

True

Question 10

What is the ratio of 12 to 18 in simplest form?

Answer 10

2:3

Question 11

How do you find a missing value in a proportion?

Answer 11

Cross-multiply and solve for the missing value.

Question 12

If a:b = 3:7 and b:c = 4:5, what is the ratio a:c?

Answer 12

12:35

Question 13

What is the cross-product of the proportion a/b = c/d?

Answer 13

ad = bc

Question 14

True or False: In a proportion, the means are the two middle terms.

Answer 14

True

Question 15

If the ratio of x to y is 4:5 and y = 25, what is x?

Answer 15

20

Question 16

How do you express the ratio 7:3 in terms of percent?

Answer 16

70% to 30%

Question 17

What is an inverse ratio?

Answer 17

An inverse ratio is when the order of the quantities is reversed.

Question 18

If a:b = 1:2 and b:c = 3:4, what is the ratio a:c?

Answer 18

1:2.67 or 1:8/3

Question 19

What does it mean for two quantities to be in direct proportion?

Answer 19

As one quantity increases, the other also increases.

Question 20

If 5 oranges cost $3, how much do 15 oranges cost?

Answer 20

$9

Question 21

Fill in the blank: To solve for a variable in a proportion, you can use ____.

Answer 21

cross-multiplication

Question 22

What is the value of x if 2/3 = x/12?

Answer 22

8

Question 23

True or False: Ratios can be expressed using different units.

Answer 23

True

Question 24

If the ratio of the lengths of two sides of a triangle is 6:8, what is the ratio in simplest form?

Answer 24

3:4

Question 25

What is the term for a ratio that compares a part to the whole?

Answer 25

Part-to-whole ratio

Question 26

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Answer 26

2:3

Question 27

What is the first step in solving a problem involving ratios?

Answer 27

Identify the quantities involved.

Question 28

True or False: The ratio 1:1 is equivalent to 100%.

Answer 28

True

Question 29

Convert the ratio 9:12 into a percentage.

Answer 29

75%

Question 30

If the ratio of cats to dogs is 3:5 and there are 15 cats, how many dogs are there?

Answer 30

25 dogs

Question 31

What is the ratio of 45 minutes to 1 hour?

Answer 31

3:4

Question 32

Fill in the blank: When two ratios are equal, they form a ____.

Answer 32

proportion

Question 33

If a:b = 5:8 and a = 15, what is b?

Answer 33

24

Question 34

What is the relationship between ratios and fractions?

Answer 34

Ratios can be expressed as fractions.

Question 35

True or False: Ratios can only be expressed in whole numbers.

Answer 35

False

Question 36

If the ratio of boys to girls is 2:3, and there are 30 girls, how many boys are there?

Answer 36

20 boys

Question 37

What do you call the first term in a ratio?

Answer 37

Antecedent

Question 38

What do you call the second term in a ratio?

Answer 38

Consequent

Question 39

If the ratio of two numbers is 4:5, what is the difference between the two numbers if the smaller number is 20?

Answer 39

5

Question 40

If 3x = 12 and x is part of a ratio, what is the value of x?

Answer 40

4

Question 41

What is the ratio of 10 to 25 in simplest form?

Answer 41

2:5

Question 42

What is the term used for the constant ratio in a direct proportion?

Answer 42

Constant of proportionality

Question 43

If the ratio of red to blue marbles is 1:4 and there are 16 blue marbles, how many red marbles are there?

Answer 43

4 red marbles

Question 44

True or False: A ratio can be represented in multiple ways (e.g., 1:2, 1/2).

Answer 44

True

Question 45

What is the term for a ratio that shows a relationship between two quantities without units?

Answer 45

Unit ratio

Question 46

If a:b = 7:2 and a = 21, what is b?

Answer 46

6

Question 47

Fill in the blank: The ratio of two numbers can be expressed as ____ or ____.

Answer 47

A:B or A/B

Question 48

If the ratio of two angles is 3:5 and the sum of the angles is 80 degrees, what is the measure of the smaller angle?

Answer 48

30 degrees